A copper wire that has been heated to 520 degrees Celsius for pliability is plunged into 350 mL of water at 18 degrees Celsius. The final temperature of the copper and water bath is 31 degrees Celsius. Find the mass of the copper wire

heat added to copper+heat added to water=0

m*Ccu(31)+350*Cwater*(31-18)=0
look up the specific heat of water, and copper, and solve for mass m.

I get 50050, which is wrong...

Obviously wrong. you specific heats should be in J/g

Oops..I eerred. should be...
m*Ccu(31-520)+350*Cwater*(31-18)=0
look up the specific heat of water, and copper, and solve for mass m.

I get -102.4 which is still the wrong answer..... my textbook says the answer is 0.10 kg

To find the mass of the copper wire, we can use the principles of heat transfer and the specific heat capacities of copper and water.

The formula used to calculate the heat transferred between an object and its surroundings is:

Q = m * c * ΔT

Where:
Q = heat transferred (in joules)
m = mass of the object (in kilograms)
c = specific heat capacity (in joules per kilogram per degree Celsius)
ΔT = change in temperature (in degrees Celsius)

For the copper wire:

Q1 = m1 * c1 * ΔT1

For the water:

Q2 = m2 * c2 * ΔT2

Since the heat transferred from the copper to the water is equal, we can set up an equation:

Q1 = Q2

m1 * c1 * ΔT1 = m2 * c2 * ΔT2

Now we can plug in the known values:

For copper:
c1 = specific heat capacity of copper = 0.385 J/g°C = 385 J/kg°C (since the unit of mass in the question is grams)
ΔT1 = final temperature - initial temperature = 31°C - 520°C = -489°C

For water:
c2 = specific heat capacity of water = 4.186 J/g°C = 4,186 J/kg°C
ΔT2 = final temperature - initial temperature = 31°C - 18°C = 13°C

Now we can rewrite the equation:

m1 * 385 * (-489) = m2 * 4,186 * 13

Since we are solving for the mass of the copper wire (m1), we need to rearrange the equation:

m1 = (m2 * 4,186 * 13) / (385 * (-489))

Plugging in the values:

m1 = (0.350 kg * 4,186 J/kg°C * 13°C) / (385 J/kg°C * -489°C)

m1 = -0.0697 kg

The mass of the copper wire is -0.0697 kg.

Note: The negative sign indicates that there may be an error in the calculations or the given information, as mass cannot be negative. Please double-check the given information and calculations to ensure correctness.

You cannot get a negative number from the above.

m=(-350*4.18)/(.386*(-489))

I get almost 8 grams. Work it out.